WEIGHTED ESTIMATES OF MULTILINEAR FRACTIONAL INTEGRAL OPERATORS FOR RADIAL FUNCTIONS

被引：1
|
作者：
Komori-Furuya, Yasuo [1 ]
Sato, Enji [2 ]
机构：
[1] Tokai Univ, Sch Sci, Dept Math, Hiratsuka, Kanagawa 2591299, Japan
[2] Yamagata Univ, Fac Sci, Dept Math Sci, Yamagata 9908560, Japan
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2020年 / 23卷 / 01期
关键词：
Multilinear fractional integral operator; radial function; power weight; CAFFARELLI-KOHN-NIRENBERG; INEQUALITIES;
D O I：
10.7153/mia-2020-23-19
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Moen (2009) proved weighted estimates for multilinear fractional integral operators. We consider weighted estimates of these operators for radial functions and power weights and obtain a better result. Our result is a multilinear valiant of the one by De Napoli, Drelichman and Duran (2011). As applications, we get improvements of the bilinear Caffarelli-Kohn-Nirenberg's inequality.
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页码：245 / 256
页数：12
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